b$.$ A $2$ station transfer line has an ideal cycle time of $Tc=1\mathrm{.}2$ mins. The probability $($p$)$ of station breakdown per cycle is equal for all stations & $p=0\mathrm{.}005$ breakdowns $/$ cycle. For each of the upper bound & lower bound approach, determine:

i$)$ Frequency of line stops per cycle

ii$)$ Average actual production rate

$[12$ Marks$]$